CHAPTER 10 : TRANSFORMATIONS II 1 Find the scale factor of enlargement for each of the following;

a) Scale factor =

b) Scale factor =

2

Find the centre of enlargement, O , in each of the following enlargement.

a) c)

b)

P

Q

P’

Q’

A

A’

A’ A

P

P’

Q

Q’

R

R’

S

S’

X

Y

X’

Z

Y’ Z’

3 On the Cartesian plane below, draw the image of P under an enlargement with scale factor 2, from the centre, M.

4 a)In the diagram, PQS and PRT are straight lines. QR is parallel to ST.

Find the value of x. Answer:

b)In the diagram, PRS and QRT are straight lines. i)Identify the two similar triangles. ii)Calculate the length of RT. Answer: i) ii)

5 In the diagram, P’Q’R’ is the image of PQR under an enlargement. It is given that QR = 6 cm, PR = 4 cm and the scale factor of enlargement is 2. Calculate the area, in cm2, of the shaded region.

Answer:

2

2

4

4

6

6

y

x 0

P

M

x cm

3 cm 5 cm

4cm

P

R

T

S Q

4 cm

R

P

Q

S

T

6 cm 5 cm

P

P’

R Q’ Q